Abstract
The aim of the paper is to investigate the partial semiring C +∞ (X) of all continuous functions on a topological space X that take values in the semiring [0, ∞] with the usual topology. Maximal ideals of the partial semiring C +∞ (X) are studied, and fundamental properties of its prime ideals are described.
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Shalaginova, N.V., Vechtomov, E.M. To the theory of partial semirings of continuous [0,∞]-valued functions. Lobachevskii J Math 36, 341–348 (2015). https://doi.org/10.1134/S1995080215040150
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DOI: https://doi.org/10.1134/S1995080215040150